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You searched for: subject:"Invariants"
[texts]The algebra of invariants - Grace, J. H. (John Hilton), b. 1873
Book digitized by Google and uploaded to the Internet Archive by user tpb.
Keywords: Invariants
Downloads: 174
[texts]The algebra of invariants - Grace, J. H. (John Hilton), b. 1873
Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.
Keywords: Invariants
Downloads: 226
[texts]A treatise on the theory of invariants - Glenn, Oliver Edmunds, 1878-
Includes index
Keywords: Invariants
Downloads: 390
[texts]A treatise on the theory of invariants - Glenn, Oliver Edmunds, 1878-

Keywords: Invariants
Downloads: 272
[texts]Differential invariants under the inversion group - Mullins, George W. (George Walker), b. 1881
Thesis (PH. D.)--Columbia university, 1917
Keywords: Differential invariants
Downloads: 305
[texts]The Madison colloquium 1913 - American Mathematical Society. Colloquium (7th : 1913 : Madison, Wis.)
The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions.
Keywords: Invariants; Number theory; Functions
Downloads: 254
[texts]Modular invariants of a quadratic form for a prime power modulus - McAtee, James Elijah, 1885-1918
Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.
Keywords: Forms, Quadratic; Invariants
Downloads: 143
[texts]The algebra of invariants - Grace, J. H. (John Hilton), b. 1873

Keywords: Forms (Mathematics); Invariants
Downloads: 906
[texts]Invariants of linear differential equations with applications to ruled surfaces in five-dimensional space - Stouffer, Ellis Bagley
Thesis (PhD.)--University of Illinois, 1911
Keywords: Invariants; Differential equations, Linear; Theses
Downloads: 14
[texts]Leçons sur la théorie des formes et la géométrie analytique supérieure, à l'usage des étudiants des facultés des sciences ... t. 1 (Volume 1) - Andoyer, Henri, 1862-1929
14
Keywords: Forms, Binary; Forms, Ternary; Invariants
Downloads: 408
[texts]Homogeneous linear substitutions - Hilton, Harold, b. 1876
The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions.
Keywords: Substitutions, Linear; Invariants; Bilinear forms
Downloads: 158
[texts]Invariante kurvenintegrale bei infinitesimalen transformationen in drei veränderlichen x, y, z und deren verwertung .. - Heineck, Karl, 1877- [from old catalog]
Book digitized by Google and uploaded to the Internet Archive by user tpb.
Keywords: Differential invariants. [from old catalog]
Downloads: 89
[texts]Leçons sur la théorie des formes et la géométrie analytique supérieure, à l'usage des étudiants des facultés des sciences ... t. 1 - Andoyer, Henri, 1862-1929
14
Keywords: Forms, Binary; Forms, Ternary; Invariants
Downloads: 370
[texts]Replicative-Form of Poly(Triose-Phosphate) - Brian K. Davis
Pathway invariants and other evidence led to the conclusion that poly(triose-phosphate) replication preceded appearance of RNA. Macromolecular replication and the pathways of central metabolism thus evolved simultaneously. These findings offer a resolution of a long-standing issue regarding prebiotic evolution and a new paradigm for explaining the origin of life.
Keywords: Pathway invariants; double-stranded Poly(Triose-phosphate)
Downloads: 149
[texts]Linear transformations on matrices (Volume 75B) - Marcus, Marvin
Journal of Research of the National Bureau of Standards
Keywords: Matrices; invariants; determinant; generalized matrix function; rank
Downloads: 119
[texts]Theoretical study of oscillator strength in hyperspherical coordinates - Tan, Jiang.
This volume was digitized and made accessible online due to deterioration of the original print copy.
Keywords: Adiabatic invariants; Hyperspace--Mathematics; Photoionization of gases
Downloads: 23
[texts]7. An Automated Technique.full
This paper presents a new supervised method for blood vessel detection in digital retinal images. This method  uses a neural network scheme for pixel classification and computes a 7-D vector composed of gray-level and momentinvariants based features for pixel representation. The method was evaluated on the publicly available DRIVE and STARE databases, widely used for this purpose, since they contain retinal images where the vascular structure, vessel endothelium and fund us features has been pr...
Keywords: Diabetic Retinopathy; Moment Invariants; Vessel Segmentation
Downloads: 15
[texts]An Organizing Principle for the Emergence of Life - Brian K. Davis
An organizing principle is proposed for the emergence of life from elementary molecules on the early Earth. It is based on the evolution of a multi-reaction system, with a shared reactant, toward the autocatalytic reaction that maximally damps the physicochemical forces driving evolution. Pathway invariants and other evidence suggest a series of interlinked and increasingly complex replication cycles evolved from the spontaneously autocatalytic formose cycle...
Keywords: physicochemical forces; autocatalysis; pathway invariants; pre-RNA replication; PTP sheets; protocells
Downloads: 10
[texts]The Morphogenesis of Intention and Structural Stability of Motifs - Bernhard Bierschenk
This article is based on the Agent-action-Objective AaO-axiom and assumes that intention can be discovered and made evident. But this requirement can be satisfied only under the condition that a particular individual can be identified with his style of writing. This implies that the nature of writing becomes approachable. Getting a style under control presupposes the A-component, which is discussed with a focus on string rotation and the establishment of lawful relations that include intention i...
Keywords: space hypothesis; AaO axiom; mirror strategy; topological invariants; uniqueness; comprehension; writing style; longitudinal study; super-symmetries
Downloads: 18
[texts]mit :: lcs :: tr :: MIT-LCS-TR-852
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-852
Keywords: invariants; program; daikon; invariant; specifications; houdini; users; annotations; test; specification; object invariants; public boolean; test suite; program point; test suites; public void; invariant detector; generated specifications; source code; public object
Downloads: 114
[texts]mit :: lcs :: tr :: MIT-LCS-TR-776
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-776
Keywords: compiler; proof; program; execution; simulation; rule; invariants; node; credible; partial; original program; form proof; partial execution; simulation invariants; control flow; simulation invariant; transformed program; standard form; proof tree; case analysis
Downloads: 19
[texts]mit :: lcs :: tr :: MIT-LCS-TR-1010
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-1010
Keywords: field; analysis; derived; invariant; invariants; abstraction; data; constraint; constraints; fields; derived fields; skip list; field constraint; data structures; data structure; constraint analysis; loop invariants; field constraints; shape analysis; pretty nice
Downloads: 28
[texts]mit :: lcs :: tr :: MIT-LCS-TR-823
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-823
Keywords: invariants; program; daikon; dynamic; specifications; test; static; invariant; analysis; properties; program specifications; invariant detection; test suites; reported invariants; test suite; static analysis; invariant detector; dynamic invariant; dynamic analysis; dynamically detected
Downloads: 21
[texts]An Isoparametric Finite Element Model for Large-Strain Elastostatics (Volume 86) - Malkus, D.S.
Journal of Research of the National Bureau of Standards
Keywords: checkerboard pressure; elastostatics; finite elements; in-core solver; isoparametrics; Mooney-Rivlin material; penalty method; plane-stress; nonlinear equation-solvers; strain invariants; tensile-test specimen
Downloads: 140
[texts]Overcoming European language barriers: A new foundation for text analysis - Bernhard Bierschenk
The present discussion is meant to serve the explanation of significant novelties, resulting from a search through the holophors of Swedish, English, German, Danish, French, and Italian text productions. Holophors have the capacity to enhance the fundamental relation between ideas and motifs through the explicitness of the functional state-termini relations. It follows that their common causal determination can be treated as the efficient definition of adaptation and consequently translational f...
Keywords: Emergent themes; emergent motifs; transformations on information invariants; structural stability; super-symmetries; spacetime structures; AaO axiom; energy landscapes; conceptual invariance; Swedish spirit
Downloads: 4
[texts]The Schema Axiom as Foundation of a Theory for Measurement and Rrepresentation of Consciousness - Bernhard Bierschenk
For the first time in the history of psychological and educational measurement the Kantian schema has been applied to natural language expression in a rigorous and precise way. The crucial novelty of the approach concerns the way in which the Kantian schema interrelates the analytic with the synthetic mode in the construction of the presented formalism. The main thesis advanced is based on the premise that the synthetic in contrast to the analytic proposition plays the central role in the measur...
Keywords: measuring; change; Kant; AaO system; expression; consciousness; carrier; language; dance; language; bees; ecological invariants; intention; orientation; visual cliff; transformation; algorithmic processing; dynamic linkage; cluster
Downloads: 37
[texts]mit :: ai :: aim :: AITR-1251
From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AITR-1251
Keywords: program; target; optimization; proof; iebr; test; redistribution; input; recursive; clause; structure appears; candidate screening; target condition; optimization invariants; target conditions; function sharing; flow arcs; flow arc; test case; test cases
Downloads: 19
[texts]mit :: lcs :: tr :: MIT-LCS-TR-914
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-914
Keywords: program; splitting; properties; analysis; invariants; predicates; data; implications; dynamic; invariant; procedure return; invariant detection; program analysis; selecting predicates; splitting conditions; program verification; goal set; random selection; splitting condition; international conference
Downloads: 48
[texts]mit :: lcs :: tr :: MIT-LCS-TR-841
From the bitsavers.org collection, a scanned-in computer-related document.mit :: lcs :: tr :: MIT-LCS-TR-841
Keywords: invariants; daikon; ioa; properties; dynamic; program; simulation; invariant; proof; algorithm; exclusion algorithm; safety property; mutual exclusion; safety properties; dynamic analysis; ioa language; ioa program; simulation relations; simulation relation; larch prover
Downloads: 34
[texts]mit :: ai :: aim :: AIM-832
From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-832
Keywords: curvature; curve; zeros; verri; projection; plane; curves; planar; corresponding; theorem; unit normal; projection invariants; perspective projection; artificial intelligence; planar curves; corresponding points; epipolar lines; ordering constraint; planar curve; forbidden zone
Downloads: 47
[texts]A Conceptual Construction of Complexity Levels Theory in Spacetime Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics and Dynamic Systems - I.C. Baianu, Ph.D., with Prof. Ronald Brown and Prof. James F. Glazebrook
Abstract: A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item's essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the imp...
Keywords: Categorical ontology and the theory of levels,formal foundation and relational structure of categorical ontology and emergent complexity theories,ontological essence and universal properties of items, Mathematical categories, groupoids, locally Lie groupoids,groupoid atlas, stacks, fibred categories,Relational Biology Principles, Higher -Homotopy General van Kampen Theorems (HHvKT) and Non-Abelian Algebraic Topology (NAAT) , noncommutativity of diagrams and non-Abelian theories, Non-Abelian Categorical Ontology , noncommutative topological invariants of complex dynamic state spaces, Natural transformations in molecular and relational biology,molecular class variables (mcv) , Natural transformations and the Yoneda-Grothendieck Lemma/construction , variable groupoids, variable categories, Variable Topology and atlas structures, Biomolecular classes and Metabolic-Repair (M-R)-systems
Downloads: 137
[texts]Non-Abelian Categorical Ontology of Spacetimes and Quantum Gravity - I.C. Baianu, Ronald Brown and James F. Glazebrook
A non-Abelian, Universal SpaceTime Ontology is introduced in terms of categories, functors, natural transformations, Higher Dimensional Algebra and the Ontological Theory of Reality Levels. A paradigm shift towards non-commutative spacetime structures with remarkable asymmetries or broken symmetries, such as the CPT-symmetry violation, is proposed. This has the potential for novel applications of Higher Dimensional Algebra to spacetime structure determination in terms of universal, topological i...
Keywords: universal spacetime Ontology; Categorical Ontology-Theory of Reality Levels; Non-Abelian Ontology; Planck limit of spacetime; Quantum Field Theory; commutativity versus non-commutativity; CPT symmetry violation; quantum dynamics; Quantum Logics and Logic Algebras; generalized LM-Toposes (GLM); quantum fields; General Relativity and supersymmetry; supergravity; supersymmetry algebras; metric superfields; symmetry breaking; Quantum Gravity; non-Abelian Gauge theories; Higgs boson; Quantum Gravity in Physical Cosmology; chronotopoids and multiverses; Higher-Dimensional Algebra (HDA) in SpaceTime Ontology; Higher-Homotopy General van Kampen Theorem (HHvKT); local-to-global problems; Combinations of Local Procedures (COLP), Lie groupoids; groupoid atlases; graded Lie algebroids in nonlinear Quantum Gravity; Topological and Homotopy Quantum Field Theories; Fundamental Quantum Double Groupoid, spacetime topological invariants; Non-Abelian Algebraic Topology (NAAT)
Downloads: 238
[texts]On the Emergence of Life and Human Consciousness - I. C. Baianu, Ronald Brown and James F. Glazebrook
A Monograph Published in: Acta Universitatis Apulensis,ISSN 1582-5329, 2011: 10 (6)-175-298'Special Issue on Understanding Complex Systems,Eds. Barna Iantovics, Ladislav Hluch¶y and Roumen Kountchev. Abstract. In this monograph we present a novel approach to the problems raised by higher complexity in both nature and the human society, by considering the most complex levels of objective existence as ontological meta-levels, such as those present in the creative human minds and civilised, mode...
Keywords: Categorical Ontology and the Theory of Levels (COTL); meta-levels; Non- Abelian Categorical Ontology; analysis and synthesis; Theoretical Biology; General Systems Theory and Complex Systems Biology; closed and open systems; boundaries and horizons; complex; super-complex and ultra-complex system dynamics; nonlinear dynamics; autopoiesis and generalised metabolic-replication systems; (M; R)-systems (MRs) and organisms; Theory of Categories; Functors and Natural Transformations (CT); Yoneda-Grothendieck Lemma; category of categories; super-category; or 2-category; n-category; ETAC and ETAS axioms; Non-Abelian Algebraic Topology (NAAT); Double Groupoids; category of double groupoids and double category; Higher Homotopy-Generalised van Kampen theorems (HHGvKTs); Higher Dimensional Algebra (HDA) of Networks; Higher Dimensional Algebra of Brain Functions; non-commutative topological invariants of complex dynamic state spaces; Quantum Algebraic Topology (QAT) and Axiomatic Quantum Theory (AQT); Quantum Double
Downloads: 476
[texts]Emergence of Ultracomplexity: Life, Human Consciousness and Society - I. C. Baianu, R. Brown and J. F. Glazebrook
Concise tutorial on the fundamentals of ultra-complexity theory. Emergence of Life, Human consciousness and human societies. Abstract: The task of developing novel and improved methodological tools for a categorical ontology of complex spacetime structures and the ontological theory of levels is here considered from several perspectives including both the quantum-molecular and complex-relational ones...
Keywords: emergence of Life; Human Consciousness, Human Society; Categorical Ontology of Ultra-complex systems,automata vs. quantum automata and organisms, Categorical Ontology and the Theory of Levels, Relational Biology Principles, What is Life ? and Life's multiple Logics, LM- and Q- Logic, organismic categories, supercategories and relational patterns, Abelian vs. non-Abelian theories, commutativity restrictions in Logic, Mathematics, Physics and Emergent - Dynamic Systems Theory, Lukasiewicz-Moisil Logic algebras of genetic networks and interactomes,Homo sapiens sapiens, the emergence of hominins and hominoides,cognitive science, mental representations and intentionality, logicians and philosophers: Brentano, Harman, Dennett, Field and Fodor' s philosophy of the human mind, Higher Dimensional Algebra (HDA) of the higher-meta-level brain functions, Higher Homotopy-General van Kampen Theorems (HHvKT) in modern Algebraic Topology and Non-Abelian Algebraic Topology (NAAT), non-commutativity of diagrams and non-Abelian theories, Non-Abelian Categorical Ontology, non-commutative topological invariants of complex dynamic state spaces, Natural Transformations in Molecular and Relational Biology, molecular class variables (MCV's, mcv's), the Primordial MR-system Origin of Life on Earth, Archea unicellular organisms, Organismal Evolution--the origins of species' biogroupoid representations, local-to-global procedures models of Organismal Evolution, biogroupoids, variable groupoids, variable categories, variable topology and atlas structures, irreversibility and open systems in Molecular and Statistical Biology/Biostatistics, selective boundaries vs. horizons, super-complex and ultra-complex systems, meta-levels of reality in human consciousness and human society, Global and Local aspects of Biological Evolution, colimits of variable biogroupoids, chains and compositions of local procedures (COLPs) in the Evolution and Co-Evolution of biological and Human species, What is Human Consciousness and Synaesthesia ?, Human Consciousness and its underlying brain dynamics as non-Abelian ultra-complex processes, Emergence of Human Consciousness through Societal Co-Evolution, social interactions; objectivation and social memes, anticipation and feedforward processes, systems of internal representations of the human mind as a holographic, `virtual' mirror-like reflection of external reality, propositional attitudes and sentence-analogs, moral duality, ethics and strange attractors of modern society dynamics, Biosphere stability problems created by the Global Human Society
Downloads: 522
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